9709 P32 - Mar 2018 - Q8
2103
Let \(f(x) = \frac{5x^2 + x + 27}{(2x + 1)(x^2 + 9)}\).
(i) Express \(f(x)\) in partial fractions.
(ii) Hence find \(\int_0^4 f(x) \, dx\), giving your answer in the form \(\ln c\), where \(c\) is an integer.
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